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Montano1993 [528]
3 years ago
10

Can someone please help

Mathematics
1 answer:
Korvikt [17]3 years ago
3 0
Answer : y = -3/4x + 1

To find an equation that goes through the two points provided, you have to find the slope using those same two points.
The equation for slope is (y2-y1)-(x2-x1).

The slope is -3/4.

The y-intercept is already given to you in the point (0,1).

Just plug everything into an equation and you get y = -3/4x + 1.
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In △ABC, AD and BE are the angle bisectors of ∠A and ∠B and DE ║ AB . Find the length of DE if perimeter of ABDE is 30 cm and AB
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Answer:

DE = 6 cm

Step-by-step explanation:

Let DE = x cm.

Since DE is parallel to AB therefore by the alternate interior angles theorem, m∠BAD = m∠ADE and m∠ABE = m∠DEB ............(1)

As AD is an angle bisector of ∠A, therefore m∠EAD = m∠DAB ; Since BE is an angle bisector of ∠B ⇒ m∠ABE = m∠EBD.

Therefore, from (1) We get ,  m∠EAD = m∠ADE and m∠EBD = m∠BED.

So, the triangles ADE and EDB are then isosceles with AE = ED and ED = DB.

So AE = DE = DB = x, and since the perimeter of ABDE is 30 cm, then

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⇒ 12 + 3x = 30

⇒ x = 6

Hence, the length of DE is 6 cm.


8 0
3 years ago
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The triangles below are similar because of the:
siniylev [52]

Answer:

AA similarity postulate

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For triangle XZY, the angles are 90°, 40°, 50°.

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Which states that all the angles are of equal measure in the triangles.

This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.

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